Evaluate the following integral ∫ 1 / x(x 5 +1) dx

CA Foundation · Quantitative Aptitude · PYQS · September 2024
Evaluate the following integral ∫ 1 / x(x 5 +1) dx
(A) A. 1 / 5 log | x 5 / x 5 +1 | + c
(B) B. log | x 5 / x 5 +1 | + c
(C) C. 1 / 5 log | x 5 +1 / x 5 | + c
(D) D. log | x 5 +1 / x 5 | + c

Suggested Answer and Working Notes:

Correct Answer: Option (A)

A. 1 / 5 log | x 5 / x 5 +1 | + c

Topics: Part-A: Business Mathematics

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